Pith Number

pith:YMVMRNVT

pith:2018:YMVMRNVTMLVIYS3PDX6L4RM7QK

not attested not anchored not stored refs pending

Ansatz for $(-1)^{n-1}\nabla p_n$

Adriano Garsia, Mahir Bilen Can, Soumya Dipta Banerjee

arxiv:1806.05704 v2 · 2018-06-14 · math.AG · 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{YMVMRNVTMLVIYS3PDX6L4RM7QK}

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	2026-05-18T00:07:58.179486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32ac8b6b362ea8c4b6f1dfcbe459f82a280aa6a31a7f5fdedea1d7b128df438

Aliases

arxiv: 1806.05704 · arxiv_version: 1806.05704v2 · doi: 10.48550/arxiv.1806.05704 · pith_short_12: YMVMRNVTMLVI · pith_short_16: YMVMRNVTMLVIYS3P · pith_short_8: YMVMRNVT

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/YMVMRNVTMLVIYS3PDX6L4RM7QK \
  | 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: c32ac8b6b362ea8c4b6f1dfcbe459f82a280aa6a31a7f5fdedea1d7b128df438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a2b0c6c2cfe3d216ebbfade0ea27bdd0c6f89f318029feb729630c4c638b40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-14T18:50:48Z",
    "title_canon_sha256": "f901d4ca7abb52e74c289752825001f19ff1dad1ae1c933a27164e96bb0d7311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05704",
    "kind": "arxiv",
    "version": 2
  }
}