Pith Number

pith:6VRROOEK

pith:2010:6VRROOEKPAEFGDSJU2VX43BQZ3

not attested not anchored not stored refs pending

Coleman maps and the p-adic regulator

Antonio Lei, David Loeffler, Sarah Livia Zerbes

arxiv:1006.5163 v2 · 2010-06-26 · 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{6VRROOEKPAEFGDSJU2VX43BQZ3}

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	2026-05-18T03:20:59.095406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56317388a7808530e49a6ab7e6c30cedf61d02f36c4405f76de1115280b066f

Aliases

arxiv: 1006.5163 · arxiv_version: 1006.5163v2 · doi: 10.48550/arxiv.1006.5163 · pith_short_12: 6VRROOEKPAEF · pith_short_16: 6VRROOEKPAEFGDSJ · pith_short_8: 6VRROOEK

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/6VRROOEKPAEFGDSJU2VX43BQZ3 \
  | 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: f56317388a7808530e49a6ab7e6c30cedf61d02f36c4405f76de1115280b066f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a560fda0e8209039ed9850e27e18817d1d05bb61c7367a5c4900a5cc2acb79db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-26T20:19:16Z",
    "title_canon_sha256": "217f1c4960f3ecd90a23e624be8920b315f54c79b61bef31acb93df04dd8f7f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5163",
    "kind": "arxiv",
    "version": 2
  }
}