Pith Number

pith:FTYJ47I4

pith:2013:FTYJ47I4E7DZ5IY4FSR53XIVZO

not attested not anchored not stored refs pending

Monotone homotopies and contracting discs on Riemannian surfaces

Gregory R. Chambers, Regina Rotman

arxiv:1311.2995 v3 · 2013-11-13 · 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{FTYJ47I4E7DZ5IY4FSR53XIVZO}

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	2026-05-18T01:03:12.224685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf09e7d1c27c79ea31c2ca3dddd15cbad814fcd24aef4383a40b3d89b69e915

Aliases

arxiv: 1311.2995 · arxiv_version: 1311.2995v3 · doi: 10.48550/arxiv.1311.2995 · pith_short_12: FTYJ47I4E7DZ · pith_short_16: FTYJ47I4E7DZ5IY4 · pith_short_8: FTYJ47I4

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/FTYJ47I4E7DZ5IY4FSR53XIVZO \
  | 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: 2cf09e7d1c27c79ea31c2ca3dddd15cbad814fcd24aef4383a40b3d89b69e915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4639b27f62f133fa6962c3836d89f0b934896f6581e72478f32541b04288e7d0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-13T01:01:02Z",
    "title_canon_sha256": "972c01808379e6af1b752dd48f0c645dfc0230f6d08024a3bd9d88b198e0ca58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2995",
    "kind": "arxiv",
    "version": 3
  }
}