Pith Number

pith:TFJQ2KN5

pith:2009:TFJQ2KN5HP2AWFYN2744YPHZO4

not attested not anchored not stored refs pending

Digraph Representations Of Rational Functions Over $p$-adic Numbers

Cesar E. Silva, Hansheng Diao

arxiv:0909.4130 v1 · 2009-09-23 · math.DS · 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{TFJQ2KN5HP2AWFYN2744YPHZO4}

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	2026-05-18T04:14:29.680802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99530d29bd3bf40b170dd7f9cc3cf977169522e5078053763c8ef71088736d24

Aliases

arxiv: 0909.4130 · arxiv_version: 0909.4130v1 · doi: 10.48550/arxiv.0909.4130 · pith_short_12: TFJQ2KN5HP2A · pith_short_16: TFJQ2KN5HP2AWFYN · pith_short_8: TFJQ2KN5

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/TFJQ2KN5HP2AWFYN2744YPHZO4 \
  | 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: 99530d29bd3bf40b170dd7f9cc3cf977169522e5078053763c8ef71088736d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086e0217aaa74ecef93fe46aeafe2552fbbe51e43ad15d12c9b5fab9aef5585a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-09-23T06:16:33Z",
    "title_canon_sha256": "bf9d69985c89836fdd19b91a8c3b241b03435c94d91c02c7e9cc2a574ffc6b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4130",
    "kind": "arxiv",
    "version": 1
  }
}