Pith Number

pith:MP73UN47

pith:2015:MP73UN47S6TDSQLCCJEQAPUUSI

not attested not anchored not stored refs pending

Embeddedness of least area minimal hypersurfaces

Antoine Song

arxiv:1511.02844 v3 · 2015-11-09 · 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{MP73UN47S6TDSQLCCJEQAPUUSI}

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	2026-05-18T00:55:39.421762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ffba379f97a63941621249003e949208a6f2026252006617351860a061b41c

Aliases

arxiv: 1511.02844 · arxiv_version: 1511.02844v3 · doi: 10.48550/arxiv.1511.02844 · pith_short_12: MP73UN47S6TD · pith_short_16: MP73UN47S6TDSQLC · pith_short_8: MP73UN47

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/MP73UN47S6TDSQLCCJEQAPUUSI \
  | 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: 63ffba379f97a63941621249003e949208a6f2026252006617351860a061b41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83b14d59383aa243f440b579292a9c117c5007709fc57fda62d14fde42ec785",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-09T20:51:34Z",
    "title_canon_sha256": "98dbb504a9062ff15f91c138f70c793c8a325463370586d6db0b7bb5362b795f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02844",
    "kind": "arxiv",
    "version": 3
  }
}