Pith Number

pith:GJYA75M6

pith:2019:GJYA75M6L33GPWRDJISON42Y6P

not attested not anchored not stored refs pending

Isometric submersions of Teichm\"uller spaces are forgetful

Dmitri Gekhtman, Mark Greenfield

arxiv:1901.02586 v2 · 2019-01-09 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJYA75M6L33GPWRDJISON42Y6P}

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	2026-05-17T23:49:14.686657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32700ff59e5ef667da234a24e6f358f3df124da1d5c4d21e219d9507f28fde4e

Aliases

arxiv: 1901.02586 · arxiv_version: 1901.02586v2 · doi: 10.48550/arxiv.1901.02586 · pith_short_12: GJYA75M6L33G · pith_short_16: GJYA75M6L33GPWRD · pith_short_8: GJYA75M6

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/GJYA75M6L33GPWRDJISON42Y6P \
  | 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: 32700ff59e5ef667da234a24e6f358f3df124da1d5c4d21e219d9507f28fde4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989ec4839cb92067042c091427b0e062a3973dc014047a4c1a755cf1aa698198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-09T03:07:24Z",
    "title_canon_sha256": "666b971b60b42b15e83d2bee88cd74e38348d2f414173b2fc61fcb571a42dd4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02586",
    "kind": "arxiv",
    "version": 2
  }
}