Pith Number

pith:6TPKTR5M

pith:2016:6TPKTR5MV3KHGPB2N2GEORBV25

not attested not anchored not stored refs pending

Factorial hypersurfaces

Aleksandr V. Pukhlikov

arxiv:1609.00956 v1 · 2016-09-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TPKTR5MV3KHGPB2N2GEORBV25}

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	2026-05-18T01:06:19.486427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4dea9c7acaed4733c3a6e8c474435d77562f9059c2f46ab09bcc7f688153f8d

Aliases

arxiv: 1609.00956 · arxiv_version: 1609.00956v1 · doi: 10.48550/arxiv.1609.00956 · pith_short_12: 6TPKTR5MV3KH · pith_short_16: 6TPKTR5MV3KHGPB2 · pith_short_8: 6TPKTR5M

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/6TPKTR5MV3KHGPB2N2GEORBV25 \
  | 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: f4dea9c7acaed4733c3a6e8c474435d77562f9059c2f46ab09bcc7f688153f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f63405c6f37b615a69c3cd4f56754e10d021fed8c06661fe94b0458a58de56f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-04T16:14:14Z",
    "title_canon_sha256": "9aa7e045287428850ef344950844880109f92c2f4768373458e1e331b69ffe9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00956",
    "kind": "arxiv",
    "version": 1
  }
}