Pith Number

pith:GZO43SGD

pith:2015:GZO43SGDHBI7I767AKGAVJ3YHL

not attested not anchored not stored refs pending

Crystalline comparison isomorphisms in $p$-adic Hodge theory: the absolutely unramified case

Fucheng Tan, Jilong Tong

arxiv:1510.05543 v2 · 2015-10-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZO43SGDHBI7I767AKGAVJ3YHL}

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	2026-05-17T23:43:54.420570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc

Aliases

arxiv: 1510.05543 · arxiv_version: 1510.05543v2 · doi: 10.48550/arxiv.1510.05543 · pith_short_12: GZO43SGDHBI7 · pith_short_16: GZO43SGDHBI7I767 · pith_short_8: GZO43SGD

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/GZO43SGDHBI7I767AKGAVJ3YHL \
  | 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: 365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84bc3355df52ddff2b4028550a502fb3cab79312178a0235820beff025d1f311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-19T15:47:14Z",
    "title_canon_sha256": "850e29fe5229901eadf921109534d6f666e39ae6bb8d96ede77cec0e99d612c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05543",
    "kind": "arxiv",
    "version": 2
  }
}