Pith Number

pith:GAMXD6X6

pith:2016:GAMXD6X6EM3RPRTNME3NZ5G2ZM

not attested not anchored not stored refs pending

On the lengths of zigzags in thin complexes

Mark Pankov, Michel Deza

arxiv:1602.05401 v2 · 2016-02-17 · 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{GAMXD6X6EM3RPRTNME3NZ5G2ZM}

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	2026-05-18T01:18:06.597333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301971fafe233717c66d6136dcf4dacb3b0c7b3c426cc26b2ae718ef5391d6bd

Aliases

arxiv: 1602.05401 · arxiv_version: 1602.05401v2 · doi: 10.48550/arxiv.1602.05401 · pith_short_12: GAMXD6X6EM3R · pith_short_16: GAMXD6X6EM3RPRTN · pith_short_8: GAMXD6X6

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/GAMXD6X6EM3RPRTNME3NZ5G2ZM \
  | 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: 301971fafe233717c66d6136dcf4dacb3b0c7b3c426cc26b2ae718ef5391d6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6879dbf425b68d96f0078b2108970d6724a38a49f3d5caca657f031fc817d9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-17T13:19:19Z",
    "title_canon_sha256": "fe2587e3bbfa91d8e2fe35869f13787faecbc056f4703da2e3f4173d2e6a0171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05401",
    "kind": "arxiv",
    "version": 2
  }
}