Pith Number

pith:HSZHRIIK

pith:2011:HSZHRIIKM7ZTFZS7DUYWWZ5YFW

not attested not anchored not stored refs pending

Arboreal Galois representations and uniformization of polynomial dynamics

Patrick Ingram

arxiv:1111.3607 v1 · 2011-11-15 · 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{HSZHRIIKM7ZTFZS7DUYWWZ5YFW}

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	2026-05-18T02:58:00.184649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb278a10a67f332e65f1d316b67b82db5a776258289e9622dd9a8742949783f

Aliases

arxiv: 1111.3607 · arxiv_version: 1111.3607v1 · doi: 10.48550/arxiv.1111.3607 · pith_short_12: HSZHRIIKM7ZT · pith_short_16: HSZHRIIKM7ZTFZS7 · pith_short_8: HSZHRIIK

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/HSZHRIIKM7ZTFZS7DUYWWZ5YFW \
  | 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: 3cb278a10a67f332e65f1d316b67b82db5a776258289e9622dd9a8742949783f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef24e9d0cddcbc7af0ce2a0ca5a2a6bedc29eb5caa0f74642f9f0cb3b8b0a74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-15T18:43:31Z",
    "title_canon_sha256": "c063decb39c104c83d4b82fd3c915109e28f5f13c653a0992e2cc8d8da363007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3607",
    "kind": "arxiv",
    "version": 1
  }
}