Pith Number

pith:XXHOHPJC

pith:2019:XXHOHPJCUVKMKPDIYNFODTJ575

not attested not anchored not stored refs pending

Non-Random Behaviour in Sums of Modular Symbols

Alexander Cowan

arxiv:1905.10743 v1 · 2019-05-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXHOHPJCUVKMKPDIYNFODTJ575}

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	2026-05-17T23:45:05.395842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdcee3bd22a554c53c68c34ae1cd3dff668ebc8b3e3f02d4b2da271e46b0b785

Aliases

arxiv: 1905.10743 · arxiv_version: 1905.10743v1 · doi: 10.48550/arxiv.1905.10743 · pith_short_12: XXHOHPJCUVKM · pith_short_16: XXHOHPJCUVKMKPDI · pith_short_8: XXHOHPJC

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/XXHOHPJCUVKMKPDIYNFODTJ575 \
  | 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: bdcee3bd22a554c53c68c34ae1cd3dff668ebc8b3e3f02d4b2da271e46b0b785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f5712a19ff296971ba4d53be459786fe536a0cc5395dd632be9a662966fae52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-26T06:20:12Z",
    "title_canon_sha256": "a2c357e1c3dbe44d4e085edb5eb34c8f7044f9228967d68fef334bc109241151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10743",
    "kind": "arxiv",
    "version": 1
  }
}