Pith Number

pith:NGI3YTNG

pith:2012:NGI3YTNGMBAGXFIQY3RBWZUBO2

not attested not anchored not stored refs pending

Exotic Differential Structures in Dimension 2

David Gauld, Sunanda Dikshit

arxiv:1211.4900 v1 · 2012-11-20 · math.GN · 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{NGI3YTNGMBAGXFIQY3RBWZUBO2}

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	2026-05-18T03:40:15.567787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6991bc4da660406b9510c6e21b6681769ee04badab026a006c98616d5d9d731e

Aliases

arxiv: 1211.4900 · arxiv_version: 1211.4900v1 · doi: 10.48550/arxiv.1211.4900 · pith_short_12: NGI3YTNGMBAG · pith_short_16: NGI3YTNGMBAGXFIQ · pith_short_8: NGI3YTNG

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/NGI3YTNGMBAGXFIQY3RBWZUBO2 \
  | 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: 6991bc4da660406b9510c6e21b6681769ee04badab026a006c98616d5d9d731e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d7393e33970bd421e6ef9131d605a5bb35dd289af9296cc18a14f53e6c9006",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-11-20T23:35:44Z",
    "title_canon_sha256": "4aa225d7b65f854b747a39de42b76c52dcb7c868d674f851a713e67485329997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4900",
    "kind": "arxiv",
    "version": 1
  }
}