Pith Number

pith:OCJTHYEV

pith:2012:OCJTHYEVKUPK55A5DEQIA5HAHV

not attested not anchored not stored refs pending

Minimal immersions of compact bordered Riemann surfaces with free boundary

Ailana Fraser, Chao Pang, Jingyi Chen

arxiv:1209.1165 v1 · 2012-09-06 · 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{OCJTHYEVKUPK55A5DEQIA5HAHV}

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	2026-05-18T03:46:06.367507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709333e095551eaef41d19208074e03d72b4145d20752859646328b7e0421fcb

Aliases

arxiv: 1209.1165 · arxiv_version: 1209.1165v1 · doi: 10.48550/arxiv.1209.1165 · pith_short_12: OCJTHYEVKUPK · pith_short_16: OCJTHYEVKUPK55A5 · pith_short_8: OCJTHYEV

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/OCJTHYEVKUPK55A5DEQIA5HAHV \
  | 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: 709333e095551eaef41d19208074e03d72b4145d20752859646328b7e0421fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3327ee09295556ab167603b022ac3719c80c2476ef7feddeed1ac721a531f4cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-06T03:00:25Z",
    "title_canon_sha256": "a0d95f151e666219b805f9ad23889f31327977c5ad9069d69bae810cc6f4b416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1165",
    "kind": "arxiv",
    "version": 1
  }
}