Pith Number

pith:57MQMB5F

pith:2013:57MQMB5FLCBGKWSYMZZ5PVRBDD

not attested not anchored not stored refs pending

The geometry of the curve graph of a right-angled Artin group

Sang-hyun Kim, Thomas Koberda

arxiv:1305.4363 v2 · 2013-05-19 · math.GR · 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{57MQMB5FLCBGKWSYMZZ5PVRBDD}

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	2026-05-18T02:56:52.038638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd90607a55882655a586673d7d62118f5a02997f72a8b2bb0c94c291fb27ad9

Aliases

arxiv: 1305.4363 · arxiv_version: 1305.4363v2 · doi: 10.48550/arxiv.1305.4363 · pith_short_12: 57MQMB5FLCBG · pith_short_16: 57MQMB5FLCBGKWSY · pith_short_8: 57MQMB5F

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/57MQMB5FLCBGKWSYMZZ5PVRBDD \
  | 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: efd90607a55882655a586673d7d62118f5a02997f72a8b2bb0c94c291fb27ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d38365a9a31194a0fcbeb27c02c625d7b3b7638cdece9cd4dbaad55205fe34",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-19T13:29:46Z",
    "title_canon_sha256": "06369dea11600cecb09bece4855d4e7238ca92cc83dfc89502829e06505a40ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4363",
    "kind": "arxiv",
    "version": 2
  }
}