Pith Number

pith:KCCSXOLP

pith:2017:KCCSXOLP7R7B6KDMDIGWGXRXEX

not attested not anchored not stored refs pending

$p$-adic geometry

Peter Scholze

arxiv:1712.03708 v1 · 2017-12-11 · math.AG · 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{KCCSXOLP7R7B6KDMDIGWGXRXEX}

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	2026-05-18T00:28:20.305037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50852bb96ffc7e1f286c1a0d635e3725e9dcf9cd2dbdc8cf68ff26dd4d4d7452

Aliases

arxiv: 1712.03708 · arxiv_version: 1712.03708v1 · doi: 10.48550/arxiv.1712.03708 · pith_short_12: KCCSXOLP7R7B · pith_short_16: KCCSXOLP7R7B6KDM · pith_short_8: KCCSXOLP

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/KCCSXOLP7R7B6KDMDIGWGXRXEX \
  | 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: 50852bb96ffc7e1f286c1a0d635e3725e9dcf9cd2dbdc8cf68ff26dd4d4d7452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87dd1d8d0cd702fabe585f3971b46429d0ce990e88ff754ba6afe3aa18e1fbf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-11T10:29:48Z",
    "title_canon_sha256": "31ef2438476591879b0caa63ab89a093624ea30e0e8493cc6c448240f629068b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03708",
    "kind": "arxiv",
    "version": 1
  }
}