Pith Number

pith:JRFNUEV6

pith:2008:JRFNUEV6DHTY4H5U4H2ILEAZN7

not attested not anchored not stored refs pending

Universal Cycles of Discrete Functions

Anant P. Godbole, Ashley Bechel, Britni LaBounty-Lay

arxiv:0805.1672 v1 · 2008-05-12 · 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{JRFNUEV6DHTY4H5U4H2ILEAZN7}

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	2026-05-18T03:58:05.204034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4ada12be19e78e1fb4e1f48590196ff87d1fbabea8c4d53124e8151004ccb3

Aliases

arxiv: 0805.1672 · arxiv_version: 0805.1672v1 · doi: 10.48550/arxiv.0805.1672 · pith_short_12: JRFNUEV6DHTY · pith_short_16: JRFNUEV6DHTY4H5U · pith_short_8: JRFNUEV6

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/JRFNUEV6DHTY4H5U4H2ILEAZN7 \
  | 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: 4c4ada12be19e78e1fb4e1f48590196ff87d1fbabea8c4d53124e8151004ccb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a175d24551688eb4a07ea994c51bee7afcf0ecf8fca1d5cbfcfbcf50336434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-05-12T15:46:22Z",
    "title_canon_sha256": "4aed6b903a7991bffe1a0fcb27a2a1dc3363f4fe4c7592b4627ecf50c2ebdf14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1672",
    "kind": "arxiv",
    "version": 1
  }
}