Pith Number

pith:DWFGWMA3

pith:2017:DWFGWMA342TTJC4Z3ZIRV3AKQY

not attested not anchored not stored refs pending

Cobordism Categories and Parametrized Morse Theory

Nathan Perlmutter

arxiv:1703.01047 v2 · 2017-03-03 · math.AT · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWFGWMA342TTJC4Z3ZIRV3AKQY}

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	2026-05-18T00:44:57.217242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d8a6b301be6a7348b99de511aec0a860f9fb33f9c297a5051c312be148cdb46

Aliases

arxiv: 1703.01047 · arxiv_version: 1703.01047v2 · doi: 10.48550/arxiv.1703.01047 · pith_short_12: DWFGWMA342TT · pith_short_16: DWFGWMA342TTJC4Z · pith_short_8: DWFGWMA3

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/DWFGWMA342TTJC4Z3ZIRV3AKQY \
  | 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: 1d8a6b301be6a7348b99de511aec0a860f9fb33f9c297a5051c312be148cdb46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c75eec3739e1acf1fc841e9d77158123833c06eed232015729a39a3051baf37",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-03T06:17:14Z",
    "title_canon_sha256": "433779b54f94c494f1c2e97fe3dd735478982049d441e2a40a20b6019a11a347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01047",
    "kind": "arxiv",
    "version": 2
  }
}