Pith Number

pith:ATFY2Q3C

pith:2016:ATFY2Q3CGHZ2IDH7M5OPUX4SH5

not attested not anchored not stored refs pending

Abstract matrix-tree theorem

Yurii Burman

arxiv:1612.03873 v3 · 2016-12-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATFY2Q3CGHZ2IDH7M5OPUX4SH5}

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	2026-05-18T00:49:46.607813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cb8d436231f3a40cff675cfa5f923f500901e61a3e4c750b881b79867cae6f

Aliases

arxiv: 1612.03873 · arxiv_version: 1612.03873v3 · doi: 10.48550/arxiv.1612.03873 · pith_short_12: ATFY2Q3CGHZ2 · pith_short_16: ATFY2Q3CGHZ2IDH7 · pith_short_8: ATFY2Q3C

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/ATFY2Q3CGHZ2IDH7M5OPUX4SH5 \
  | 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: 04cb8d436231f3a40cff675cfa5f923f500901e61a3e4c750b881b79867cae6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b834d330e8ce7f43fbbbaaf80e37f3fd7ae9b08c7fbb7142b7227fde4bbfb64d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-12T19:55:49Z",
    "title_canon_sha256": "add59eb2e05f11bddf8e998ddef11e44a2718a9d9281a2616ecb620d98830766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03873",
    "kind": "arxiv",
    "version": 3
  }
}