Pith Number

pith:DJCGQHKN

pith:2017:DJCGQHKN7ZZYMLSQRQU2X2ECU5

not attested not anchored not stored refs pending

Negatively curved bundles in the Igusa stable range

Francis Thomas Farrell, Mauricio Bustamante, Yi Jiang

arxiv:1711.11315 v3 · 2017-11-30 · math.GT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJCGQHKN7ZZYMLSQRQU2X2ECU5}

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	2026-07-05T00:22:17.674945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a44681d4dfe73862e508c29abe882a7549b0aa339d33dd9689a854b13821c65

Aliases

arxiv: 1711.11315 · arxiv_version: 1711.11315v3 · doi: 10.48550/arxiv.1711.11315 · pith_short_12: DJCGQHKN7ZZY · pith_short_16: DJCGQHKN7ZZYMLSQ · pith_short_8: DJCGQHKN

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/DJCGQHKN7ZZYMLSQRQU2X2ECU5 \
  | 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: 1a44681d4dfe73862e508c29abe882a7549b0aa339d33dd9689a854b13821c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d27ac4622c9d69f1b99c63e2a1007939cd610e377e07abd0cdbb04c9eafa942",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-30T10:47:26Z",
    "title_canon_sha256": "01928eb326f12f070a8558864ec713739fb22d1a9dba5a0127a956c5b2eae4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11315",
    "kind": "arxiv",
    "version": 3
  }
}