Pith Number

pith:HH75BNNF

pith:2018:HH75BNNFRP6SLJJWFMDPPCGCF4

not attested not anchored not stored refs pending

On the Dehn functions of K\"ahler groups

Claudio Llosa Isenrich, Romain Tessera

arxiv:1807.03677 v2 · 2018-07-10 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HH75BNNFRP6SLJJWFMDPPCGCF4}

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	2026-05-17T23:43:56.632432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ffd0b5a58bfd25a5362b06f788c22f1a9188c195e1f57833a211f679ce0b84

Aliases

arxiv: 1807.03677 · arxiv_version: 1807.03677v2 · doi: 10.48550/arxiv.1807.03677 · pith_short_12: HH75BNNFRP6S · pith_short_16: HH75BNNFRP6SLJJW · pith_short_8: HH75BNNF

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/HH75BNNFRP6SLJJWFMDPPCGCF4 \
  | 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: 39ffd0b5a58bfd25a5362b06f788c22f1a9188c195e1f57833a211f679ce0b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcf41b7ecdafb4c5a014147abcdd4e35b2ded9940817dc873ed88abd17d8092",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-10T14:38:31Z",
    "title_canon_sha256": "51750d1afa19eeaa510ff755345113919986ede5753474afaf8b30869682145e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03677",
    "kind": "arxiv",
    "version": 2
  }
}