Pith Number

pith:MFSZSCNF

pith:2014:MFSZSCNFWRYGRGIVT6ARO2FANM

not attested not anchored not stored refs pending

An exotic sphere with positive curvature

Jianquan Ge, Zizhou Tang

arxiv:1412.0982 v2 · 2014-12-02 · 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{MFSZSCNFWRYGRGIVT6ARO2FANM}

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	2026-05-18T02:32:07.123814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61659909a5b4706899159f811768a06b024c55070e760d9ae6d9d0bd25aee811

Aliases

arxiv: 1412.0982 · arxiv_version: 1412.0982v2 · doi: 10.48550/arxiv.1412.0982 · pith_short_12: MFSZSCNFWRYG · pith_short_16: MFSZSCNFWRYGRGIV · pith_short_8: MFSZSCNF

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/MFSZSCNFWRYGRGIVT6ARO2FANM \
  | 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: 61659909a5b4706899159f811768a06b024c55070e760d9ae6d9d0bd25aee811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c66b3ee485e9b731cea10e6d92b91ddd647ebf6197c16798f610c50d8693d36",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-02T17:08:01Z",
    "title_canon_sha256": "3bdb55198a2cbf1d764ffbbb8c7ec905aafb85155f7318cb2a223e12b8a3a59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0982",
    "kind": "arxiv",
    "version": 2
  }
}