Pith Number

pith:RTIVTQQD

pith:2010:RTIVTQQDC6Q5PDPSF6TFGU4JAU

not attested not anchored not stored refs pending

A gradient bound for free boundary graphs

Daniela De Silva, David Jerison

arxiv:1009.4694 v1 · 2010-09-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTIVTQQDC6Q5PDPSF6TFGU4JAU}

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	2026-05-18T04:40:21.863594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd159c20317a1d78df22fa6535389052c9e8a11afdfa362d2aaaae8151e191e

Aliases

arxiv: 1009.4694 · arxiv_version: 1009.4694v1 · doi: 10.48550/arxiv.1009.4694 · pith_short_12: RTIVTQQDC6Q5 · pith_short_16: RTIVTQQDC6Q5PDPS · pith_short_8: RTIVTQQD

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/RTIVTQQDC6Q5PDPSF6TFGU4JAU \
  | 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: 8cd159c20317a1d78df22fa6535389052c9e8a11afdfa362d2aaaae8151e191e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f1ac5ba7d4ee893d7e4237c9f258499b00cab360e8dab5c9d2deb0df806768",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-23T19:55:12Z",
    "title_canon_sha256": "c3b2c81b195398460e1b381922047733038509a09076b007601d18d04e57e6dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4694",
    "kind": "arxiv",
    "version": 1
  }
}