Pith Number

pith:7GA2LRXP

pith:2026:7GA2LRXPROMISL2UTFBZXEBBKR

not attested not anchored not stored refs pending

Polar Coordinates and Fundamental Group

Jules Chenal

arxiv:2607.00737 v1 · 2026-07-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GA2LRXPROMISL2UTFBZXEBBKR}

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	2026-07-02T01:17:53.027495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f981a5c6ef8b98892f5499439b90215474fe4c118836ed4f6b1f89214275789f

Aliases

arxiv: 2607.00737 · arxiv_version: 2607.00737v1 · doi: 10.48550/arxiv.2607.00737 · pith_short_12: 7GA2LRXPROMI · pith_short_16: 7GA2LRXPROMISL2U · pith_short_8: 7GA2LRXP

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/7GA2LRXPROMISL2UTFBZXEBBKR \
  | 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: f981a5c6ef8b98892f5499439b90215474fe4c118836ed4f6b1f89214275789f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0f871b7c2e1977d725344061cd18fefef63ee39b1296fb29851160ab9abf72",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-01T10:19:40Z",
    "title_canon_sha256": "47ab52290b8e3461531356789ff7187b0dedbe8e9146c1999b0b1e13db3dbe07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00737",
    "kind": "arxiv",
    "version": 1
  }
}