Pith Number

pith:FHNHVVFG

pith:2015:FHNHVVFGE4ENG6ZDGSDDIPFQ7M

not attested not anchored not stored refs pending

$Z_2$-bordism and the Borsuk-Ulam Theorem

Alice K. M. Libardi, Daciberg L. Goncalves, Michael C. Crabb, Pedro L. Q. Pergher

arxiv:1504.03929 v2 · 2015-04-15 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHNHVVFGE4ENG6ZDGSDDIPFQ7M}

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	2026-05-18T02:18:14.956288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29da7ad4a62708d37b233486343cb0fb2afbe81135f9631cbfbb2ea19203d554

Aliases

arxiv: 1504.03929 · arxiv_version: 1504.03929v2 · doi: 10.48550/arxiv.1504.03929 · pith_short_12: FHNHVVFGE4EN · pith_short_16: FHNHVVFGE4ENG6ZD · pith_short_8: FHNHVVFG

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/FHNHVVFGE4ENG6ZDGSDDIPFQ7M \
  | 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: 29da7ad4a62708d37b233486343cb0fb2afbe81135f9631cbfbb2ea19203d554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ae39906c6f7296dc17ca1c065a7c0ad7cccd9f980f24d15ff332cc4e755de2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-04-15T14:35:23Z",
    "title_canon_sha256": "9f670e9e240f38b6ff4af4ce9722576454e3ab095b12cb4f0ad25e367382e073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03929",
    "kind": "arxiv",
    "version": 2
  }
}