Pith Number

pith:ITHNT4XT

pith:2007:ITHNT4XTOAASNNVGWZ3TW2MXXR

not attested not anchored not stored refs pending

Multiplicative properties of Morin maps

Andras Szucs, Gabor Lippner

arxiv:0710.2681 v2 · 2007-10-14 · math.GT · 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{ITHNT4XTOAASNNVGWZ3TW2MXXR}

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	2026-05-18T02:41:51.902935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ced9f2f3700126b6a6b6773b6997bc6efbee0a2f3698f01fe2c3cc831ec546

Aliases

arxiv: 0710.2681 · arxiv_version: 0710.2681v2 · doi: 10.48550/arxiv.0710.2681 · pith_short_12: ITHNT4XTOAAS · pith_short_16: ITHNT4XTOAASNNVG · pith_short_8: ITHNT4XT

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/ITHNT4XTOAASNNVGWZ3TW2MXXR \
  | 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: 44ced9f2f3700126b6a6b6773b6997bc6efbee0a2f3698f01fe2c3cc831ec546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83e632ab38499307695fb658233df2519ea193bea8b72cae8cfdb788569b2cb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-14T17:50:44Z",
    "title_canon_sha256": "c828dc0651c016615e1cc2a62e63d3759a5d71993e2b17c694846d58a2fcc491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2681",
    "kind": "arxiv",
    "version": 2
  }
}