Pith Number

pith:6ICRAHNB

pith:2018:6ICRAHNBMSP2JM4ZS5R6VQETV2

not attested not anchored not stored refs pending

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Brendan Murphy, Ilya Shkredov, Nikolay Moshchevitin

arxiv:1808.05845 v2 · 2018-08-17 · math.NT · 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{6ICRAHNBMSP2JM4ZS5R6VQETV2}

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	2026-05-18T00:07:27.266808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f205101da1649fa4b3999763eac093ae92505f33c24f19efab8c2eb63e0aeb3c

Aliases

arxiv: 1808.05845 · arxiv_version: 1808.05845v2 · doi: 10.48550/arxiv.1808.05845 · pith_short_12: 6ICRAHNBMSP2 · pith_short_16: 6ICRAHNBMSP2JM4Z · pith_short_8: 6ICRAHNB

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/6ICRAHNBMSP2JM4ZS5R6VQETV2 \
  | 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: f205101da1649fa4b3999763eac093ae92505f33c24f19efab8c2eb63e0aeb3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d839e1d34cb8a0956cdea0adf15b7e1b45dd85ad06c71de6e185ce9f53c67055",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-17T12:56:53Z",
    "title_canon_sha256": "4ce618db3a4d92e32c85c7cba6de0125b2b384fba9b3bcdd8ba1e076b5917ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05845",
    "kind": "arxiv",
    "version": 2
  }
}