Pith Number

pith:FFJMHM7R

pith:2018:FFJMHM7R7QW6BK5YPYC2IQZCTN

not attested not anchored not stored refs pending

The depth of a Riemann surface and of a right-angled Artin group

Steve Halperin, Yves Felix

arxiv:1812.09688 v1 · 2018-12-23 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFJMHM7R7QW6BK5YPYC2IQZCTN}

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	2026-05-17T23:57:27.092119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2952c3b3f1fc2de0abb87e05a443229b502263a2d1840ede69f563c85732740c

Aliases

arxiv: 1812.09688 · arxiv_version: 1812.09688v1 · doi: 10.48550/arxiv.1812.09688 · pith_short_12: FFJMHM7R7QW6 · pith_short_16: FFJMHM7R7QW6BK5Y · pith_short_8: FFJMHM7R

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/FFJMHM7R7QW6BK5YPYC2IQZCTN \
  | 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: 2952c3b3f1fc2de0abb87e05a443229b502263a2d1840ede69f563c85732740c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26fd21b26ecc9488bc324296de05d604e5cecdc2ef55b9876fbda44d95ad5b2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-12-23T11:02:50Z",
    "title_canon_sha256": "7a3d81e7b524d6d575119b4962c9accbeda8db8c5d86087ab3aab7bd0598bce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09688",
    "kind": "arxiv",
    "version": 1
  }
}