Pith Number

pith:Q2QBUUNO

pith:2016:Q2QBUUNONMDV53V4RACGUBKXTR

not attested not anchored not stored refs pending

Horofunctions on graphs of linear growth

Ariel Yadin, Matthew Tointon

arxiv:1608.03727 v2 · 2016-08-12 · math.MG · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2QBUUNONMDV53V4RACGUBKXTR}

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	2026-05-18T00:39:23.841872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a01a51ae6b075eeebc88046a05579c776dbc14040e221204bff3e9dc7638ed

Aliases

arxiv: 1608.03727 · arxiv_version: 1608.03727v2 · doi: 10.48550/arxiv.1608.03727 · pith_short_12: Q2QBUUNONMDV · pith_short_16: Q2QBUUNONMDV53V4 · pith_short_8: Q2QBUUNO

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/Q2QBUUNONMDV53V4RACGUBKXTR \
  | 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: 86a01a51ae6b075eeebc88046a05579c776dbc14040e221204bff3e9dc7638ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187b84dec54cd783150f791744e13d4ed9ff4f151dbbae1ef16bd90d07e8dca3",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-08-12T09:06:07Z",
    "title_canon_sha256": "e1d6e36f971012aaed81e79fc744aa3654a911acc5591c4053a3b4de181b3d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03727",
    "kind": "arxiv",
    "version": 2
  }
}