Pith Number

pith:HDFEQBTT

pith:2007:HDFEQBTT5NXCUPD2JDPSG7M7IH

not attested not anchored not stored refs pending

A parametrized version of the Borsuk Ulam theorem

Henryk Torunczyk (Warsaw University, Robert Simon (London School of Economics), Stanislav Spiez (Polish Academy of Sciences, Thomas Schick (Georg-August Universit\"at G\"ottingen), Warszawa)

arxiv:0709.1774 v7 · 2007-09-12 · math.AT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDFEQBTT5NXCUPD2JDPSG7M7IH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:43:28.894747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ca480673eb6e2a3c7a48df237d9f41e01344f3c5961fa9f52421258ee1632e

Aliases

arxiv: 0709.1774 · arxiv_version: 0709.1774v7 · doi: 10.48550/arxiv.0709.1774 · pith_short_12: HDFEQBTT5NXC · pith_short_16: HDFEQBTT5NXCUPD2 · pith_short_8: HDFEQBTT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HDFEQBTT5NXCUPD2JDPSG7M7IH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 38ca480673eb6e2a3c7a48df237d9f41e01344f3c5961fa9f52421258ee1632e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa0c1d80d969092c513aef57c427ba784920be3f8de31b31907e7b42327f134",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-09-12T09:02:27Z",
    "title_canon_sha256": "c4f40d6bf9bafbfb1334781b0ab5c2fc5c49d5479871e7eefe300aad8539ed92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1774",
    "kind": "arxiv",
    "version": 7
  }
}