Pith Number

pith:UQG2K4G4

pith:2013:UQG2K4G4V6S77ZV5YQOWVDFZCW

not attested not anchored not stored refs pending

Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows

Jingyi Chen, Yuxiang Li

arxiv:1311.3022 v1 · 2013-11-13 · 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{UQG2K4G4V6S77ZV5YQOWVDFZCW}

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	2026-05-18T03:07:13.388110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40da570dcafa5ffe6bdc41d6a8cb9158f791507244aee2be668457f6b2497f9

Aliases

arxiv: 1311.3022 · arxiv_version: 1311.3022v1 · doi: 10.48550/arxiv.1311.3022 · pith_short_12: UQG2K4G4V6S7 · pith_short_16: UQG2K4G4V6S77ZV5 · pith_short_8: UQG2K4G4

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/UQG2K4G4V6S77ZV5YQOWVDFZCW \
  | 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: a40da570dcafa5ffe6bdc41d6a8cb9158f791507244aee2be668457f6b2497f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50e40229a19755462b4fdaf2363f3713b8142954ce59ab6f6b217dc0b824298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-13T06:02:19Z",
    "title_canon_sha256": "f8363c5822934c5d3ccd0dfcfcca0ff69ed1826c4af9d92314ae8ce4610e0045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3022",
    "kind": "arxiv",
    "version": 1
  }
}